Q1➡ | NET December 2022The memory size for n address lines and m data lines is given by |

i ➥ 2^{m}×n |

ii ➥ m×n^{2} |

iii ➥ 2^{n}×m |

iv ➥ n×m^{2} |

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Q2➡ | NET December 2022Simplify the following using K-map F(A, B, C, D) = Σ(0, 2, 5, 7, 8, 10, 13, 15) |

i ➥ BD + B’D’ |

ii ➥ AC + A’C’ |

iii ➥ BC + B’C’ |

iv ➥ AD + A’D’ |

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Q3➡ | NET June 2022Consider a logic gate circuit, with 8 input lines (D0, D1………..D7) and 3 input Lines (A0, A1, A2) specified by following operations A2=D4+D5+D6+D7 A1=D2+D3+D6+D7 A0=D1+D3+D5+D0 Where + indicates logical OR operation. This circuit is |

i ➥ 3×8 multiplexer |

ii ➥ Decimal to BCD Converter |

iii ➥ Octal to Binary encoder |

iv ➥ Priority encoder |

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Q4➡ | NET June 2022The number of gate inputs, required to realize expression ABC+AB̅CD+E Fbar+AD is |

i ➥ 12 |

ii ➥ 13 |

iii ➥ 14 |

iv ➥ 15 |

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Question 5➡ | NTA UGC NET June 2021 The Octal equivalent of hexadecimal (D.C) _{16} is: |

i ➥ (15.3)_{8} |

ii ➥ (15.6)_{8} |

iii ➥ (61.3)_{8} |

iv ➥ (61.6)_{8} |

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Question 6➡ | NTA UGC NET June 2021Match List I with List II Choose the correct answer from the options given below: |

i ➥ A – I, B -III , C – IV, D – II |

ii ➥ A – III, B -I , C – II, D – IV |

iii ➥ A – III, B -I , C – IV, D – II |

iv ➥ A – III, B -IV , C – I, D – II |

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Question 7➡ | NTA UGC NET June 2021Match List I with List II Choose the correct answer from the options given below: |

i ➥ A – I, B – II, C – III, D – IV |

ii ➥ A – I, B – III, C – II, D – IV |

iii ➥ A – II, B – I, C – IV, D – III |

iv ➥ A – IV, B – II, C – III, D – I |

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Question 8➡ | NTA UGC NET June 2021The characteristics of the combinational circuits are: A. Output at any time is function of inputs at that time B. Contains memory elements C. Do not have feedback paths D. Clock is used to trigger the circuits to obtain outputs Choose the correct answer from the options given below: |

i ➥ A and B only |

ii ➥ A and C only |

iii ➥ B and C only |

iv ➥ B and D only |

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Question 9➡ | NTA UGC NET June 2021A digital computer has a common bus system for 8 registers 16 bits each. How many multiplexers are required to implement common bus? What size of multiplexers is required? |

i ➥ 16, 16×1 |

ii ➥ 16, 8×1 |

iii ➥ 8, 16×1 |

iv ➥ 8, 8×1 |

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Question 10➡ | NTA UGC NET November 2020 Simplified expression/s for following Boolean function F(A,B,C,D)=Σ(0,1,2,3,6,12,13,14,15) is/are A) A’B’+AB+A’C’D’ B) A’B’+AB+A’CD’ C) A’B’+AB+BC’D’ D) A’B’+AB+BCD’ Choose the correct answer from the options given below: |

i ➥ (A) only |

ii ➥ (B) only |

iii ➥ (A) and (B) only |

iv ➥ (B) and (D) only |

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Question 11➡ | NTA UGC NET November 2020 What kind of clauses are available in conjunctive normal form? |

i ➥ Disjunction of literals |

ii ➥ Disjunction of variables |

iii ➥ Conjunction of literals |

iv ➥ Conjunction of variables |

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Question 12➡ | NTA UGC NET November 2020 Consider a code with only four valid code words: 0000000000, 0000011111, 1111100000, and 1111111111. This code has distance 5. If the code word arrived is 0000000111 then the original code word must be ._______ |

i ➥ 0000011111 |

ii ➥ 0000000000 |

iii ➥ 1111100000 |

iv ➥ 1111111111 |

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Question 13➡ | NTA UGC NET December 2019 Which of the following binary codes for decimal digits are self complementing? (a) 8421 code (b) 2421 code (c) excess-3 code (d) excess-3 gray code Choose the correct option: |

i ➥ (a) and (b) |

ii ➥ (b) and (c) |

iii ➥ (c) and (d) |

iv ➥ (d) and (a) |

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Question 14➡ | NTA UGC NET December 2019 The Boolean AB+AB’+A’C+AC is unaffected by the value of the Boolean variable ___________. |

i ➥ A |

ii ➥ B |

iii ➥ C |

iv ➥ A, B & C |

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Question 15➡ | NTA UGC NET December 2019 Given following equation: (142) _{b }+ (112)_{b-2} = (75)_{8}Find base b. |

i ➥ 3 |

ii ➥ 6 |

iii ➥ 7 |

iv ➥ 5 |

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Question 16➡ | NTA UGC NET June 2019 How many different Boolean functions of degree n are there? |

i ➥ |

ii ➥ (2^{2})^{2} |

iii ➥ 2^{2n-1} |

iv ➥ |

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Question 17➡ | NTA UGC NET June 2019 Consider the equation (146) _{b} + (313)_{b-2} = (246)_{8} . Which of the following is the value of b? |

i ➥ 8 |

ii ➥ 7 |

iii ➥ 10 |

iv ➥ 16 |

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Question 18➡ | NTA UGC NET June 2019 How many address lines and data lines are required to provide a memory capacity of 16K x 16? |

i ➥ 10,4 |

ii ➥ 16,16 |

iii ➥ 14,16 |

iv ➥ 4,16 |

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Question 19➡ | NTA UGC NET June 2019 Suppose that the register A and register K have the bit configuration. Only the three leftmost bits of A are compared with memory words because K has 1’s in these positions. Because of its organization, this type of memory is uniquely suited to parallel searches by data association. This type of memory is known as |

i ➥ RAM |

ii ➥ ROM |

iii ➥ Content addressable memory |

iv ➥ Secondary memory |

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Question 20➡ | NTA UGC NET June 2019 What will be the number of states when a MOD-2 counter is followed by a MOD-5 counter? |

i ➥ 5 |

ii ➥ 10 |

iii ➥ 15 |

iv ➥ 20 |

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Question 21➡ | NTA UGC NET June 2019 How many bit strings of length ten either start with a 1 bit or end with two bits 00? |

i ➥ 320 |

ii ➥ 480 |

iii ➥ 640 |

iv ➥ 768 |

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Question 22➡ | NTA UGC NET June 2019 The parallel bus arbitration technique uses an external priority encoder and a decoder. Suppose, a parallel arbiter has 5 bus arbiters. What will be the size of priority encoder and decoder respectively? |

i ➥ 4×2, 2×4 |

ii ➥ 2×4, 4×2 |

iii ➥ 3×8, 8×3 |

iv ➥ 8×3, 3×8 |

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Question 23➡ | NTA UGC NET December 2018 In computers, subtraction is generally carried out by |

i ➥ 1’s complement |

ii ➥ 10’s complement |

iii ➥ 2’s complement |

iv ➥ 9’s complement |

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Question 24➡ | NTA UGC NET December 2018 The boolean expression A’⋅B+A.B’+A.B is equivalent to |

i ➥ A+B |

ii ➥ A.B |

iii ➥ (A+B)’ |

iv ➥ A’.B |

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Question 25➡ | NTA UGC NET December 2018 The relation ≤ and < on a boolean algebra are defined as : x ≤ y and only if x ∨ y = y x < y means x ≤ y but x ≠ y x ≥ y means y ≤ x and x > y means y <x Consider the above definitions, which of the following is not true in the boolean algebra ? (i)If x ≤ y and y ≤ z, then x ≤ z (ii)If x ≤ y and y ≤ x, then x=y (iii)If x < y and y < z, then x ≤ y (iv)If x < y and y < z, then x < y |

i ➥ (iv) only |

ii ➥ (iii) only |

iii ➥ (i) and (ii) only |

iv ➥ (ii) and (iii) only |

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Question 26➡ | NTA UGC NET December 2018 Consider the following boolean equations : (i) wx + w(x + y) + x(x + y)=x+wy (ii) (wx’(y+xz’)+w’x’)y=x’y What can you say about the above equations ? |

i ➥ Both (i) and (ii) are true |

ii ➥ (i) is true and (ii) is false |

iii ➥ Both (i) and (ii) are false |

iv ➥ (i) is false and (ii) is true |

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Question 27➡ | NTA UGC NET December 2018 Find the boolean expression for the logic circuit shown below : (1-NAND gate, 2-NOR gate, 3-NOR gate) |

i ➥ AB |

ii ➥ AB’ |

iii ➥ A’B’ |

iv ➥ A’B |

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Question 28➡ | NTA UGC NET December 2018 The decimal floating point number -40.1 represented using IEEE-754 32-bit representation and written in hexadecimal form is |

i ➥ 0xC2206000 |

ii ➥ 0xC2006666 |

iii ➥ 0xC2006000 |

iv ➥ 0xC2206666 |

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Question 29➡ | NTA UGC NET December 2018 Which of the following statements are true ? (i) Every logic network is equivalent to one using just NAND gates or just NOR gates. (ii) Boolean expressions and logic networks correspond to labelled acyclic digraphs. (iii) No two Boolean algebras with n atoms are isomorphic. (iv) Non-zero elements of finite Boolean algebras are not uniquely expressible as joins of atoms. |

i ➥ (i) and (iv) only |

ii ➥ (i) and (ii) only |

iii ➥ (i), (ii) and (iii) only |

iv ➥ (ii), (iii) and (iv) only |

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Question 30➡ | NTA UGC NET June 2018 To guarantee correction of upto t errors, the minimum Hamming distance d _{min} in a block code must be__________. |

i ➥ t+1 |

ii ➥ t−2 |

iii ➥ 2t−1 |

iv ➥ 2t+1 |

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Question 31➡ | NTA UGC NET June 2018 CMOS is a Computer Chip on the motherboard, which is : |

i ➥ RAM |

ii ➥ ROM |

iii ➥ EPROM |

iv ➥ Auxiliary storage |

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Question 32➡ | NTA UGC NET June 2018 In RS flip-flop, the output of the flip-flop at time (t+1) is same as the output at time t, after the occurrence of a clock pulse if : |

i ➥ S=R=1 |

ii ➥ S=0, R=1 |

iii ➥ S=1, R=0 |

iv ➥ S=R=0 |

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Question 33➡ | NTA UGC NET June 2018 Match the terms in List – I with the options given in List – II : |

i ➥ (a)-(ii), (b)-(i), (c)-(iii) |

ii ➥ (a)-(ii), (b)-(iii), (c)-(i) |

iii ➥ (a)-(ii), (b)-(i), (c)-(iv) |

iv ➥ (a)-(iv), (b)-(ii), (c)-(i) |

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Question 34➡ | NTA UGC NET June 2018 What does the following logic diagram represent ? |

i ➥ Synchronous Counter |

ii ➥ Ripple Counter |

iii ➥ Combinational Circuit |

iv ➥ Mod 2 Counter |

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Question 35➡ | NTA UGC NET June 2018 Perform the following operation for the binary equivalent of the decimal numbers (-14) _{10}+(15)_{10} The solution in 8 bit representation is : |

i ➥ 11100011 |

ii ➥ 00011101 |

iii ➥ 10011101 |

iv ➥ 11110011 |

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Question 36➡ | NTA UGC NET June 2018 Simplify the following using K-map : F (A, B, C, D) = Σ (0, 1, 2, 8, 9, 12, 13) + d(A, B, C, D) = Σ (10, 11, 14, 15) d stands for don’t care condition. |

i ➥ A+B’D’ + BC |

ii ➥ A+B’D’ + B’C’ |

iii ➥ A’+B’C’ |

iv ➥ A’+B’C’+B’D’ |

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Question 37➡ | NTA UGC NET November 2017 Paper III Let P, Q, R and S be Propositions. Assume that the equivalences P ⇔ (Q ∨ ¬ Q) and Q ⇔ R hold.Then the truth value of the formula (P ∧ Q) ⇒ ((P ∧ R) ∨ S) is always: |

i ➥ True |

ii ➥ False |

iii ➥ Same as truth table of Q |

iv ➥ Same as truth table of S |

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Question 38➡ | NTA UGC NET November 2017 Paper III For any binary (n, h) linear code with minimum distance (2t+1) or greater |

i ➥ 2t+1 |

ii ➥ t+1 |

iii ➥ t |

iv ➥ t-1 |

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Question 39➡ | NTA UGC NET November 2017 Paper IIIf the time is now 4 O’clock, what will be the time after 101 hours from now ? |

i ➥ 9 O’Clock |

ii ➥ 8 O’Clock |

iii ➥ 5 O’Clock |

iv ➥ 4 O’Clock |

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Question 40➡ | NTA UGC NET November 2017 Paper II Let m=(313) _{4} and n=(322)_{4} . Find the base 4 expansion of m+n. |

i ➥ (635)_{4} |

ii ➥ (32312)_{4} |

iii ➥ (21323)_{4} |

iv ➥ (1301)_{4} |

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Question 41➡ | NTA UGC NET November 2017 Paper II The Boolean function with the Karnaugh map |

i ➥ (A+C).D+B |

ii ➥ (A+B).C+D |

iii ➥ (A+D).C+B |

iv ➥ (A+C).B+D |

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Question 42➡ | NTA UGC NET November 2017 Paper II The Octal equivalent of the binary number 1011101011 is : |

i ➥ 7353 |

ii ➥ 1353 |

iii ➥ 5651 |

iv ➥ 5657 |

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Question 43➡ | NTA UGC NET November 2017 Paper II Let P and Q be two propositions, ¬ (P ↔ Q) is equivalent to: |

i ➥ P ↔ ¬ Q |

ii ➥ ¬ P ↔ Q |

iii ➥ ¬ P ↔ ¬ Q |

iv ➥ Q → P |

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Question 44➡ | NTA UGC NET November 2017 Paper II The output of the following combinational circuit is F: The value of F is : |

i ➥ P_{1}+P’_{2}P_{3} |

ii ➥ P_{1}+P’_{2}P’_{3} |

iii ➥ P_{1} +P_{2} P’_{3} |

iv ➥ P’_{1 }+P_{2} P_{3} |

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Question 45➡ | NTA UGC NET January 2017 Paper III Let C be a binary linear code with minimum distance 2t + 1 then it can correct upto______bits of error. |

i ➥ t + 1 |

ii ➥ t |

iii ➥ t – 2 |

iv ➥ t / 2 |

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Question 46➡ | NTA UGC NET January 2017 Paper IIECL is the fastest of all logic families. High speed in ECL is possible because transistors are used in difference amplifier configuration, in which they are never driven into __. |

i ➥ Race condition |

ii ➥ Saturation |

iii ➥ Delay |

iv ➥ High impedance |

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Question 47➡ | NTA UGC NET January 2017 Paper II A binary 3 bit down counter uses J-K flip-flops, FF _{i} with inputs J_{i} , K_{i} and outputs Q_{i} , i=0,1,2 respectively. The minimized expression for the input from following, isI. J _{0} = K_{0} = 0II. J _{0} = K_{0} = 1III. J _{1} = K_{1} = Q_{0}IV. J _{1} = K_{1} =Q’_{0}V. J _{2} = K_{2} = Q_{1} Q_{0}VI. J _{2} = K_{2} = Q’_{1} Q’_{0} |

i ➥ I,III,V |

ii ➥ I,IV,VI |

iii ➥ II,III,V |

iv ➥ II,IV,VI |

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Question 48➡ | NTA UGC NET January 2017 Paper II Convert the octal number 0.4051 into its equivalent decimal number: |

i ➥ 0.5100098 |

ii ➥ 0.2096 |

iii ➥ 0.52 |

iv ➥ 0.4192 |

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Question 49➡ | NTA UGC NET January 2017 Paper II The hexadecimal equivalent of the octal number 2357 is : |

i ➥ 2EE |

ii ➥ 2FF |

iii ➥ 4EF |

iv ➥ 4FE |

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Question 50➡ | NTA UGC NET January 2017 Paper II If X is a binary number which is power of 2, then the value of X & (X – 1) is : |

i ➥ 11….11 |

ii ➥ 00…..00 |

iii ➥ 100…..0 |

iv ➥ 000……1 |

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Question 51➡ | NTA UGC NET August 2016 Paper II Which of the following logic expressions is incorrect? |

i ➥ 1 ⊕ 0 = 1 |

ii ➥ 1 ⊕ 1 ⊕ 1 = 1 |

iii ➥ 1 ⊕ 1 ⊕ 0 = 1 |

iv ➥ 1 ⊕ 1 = 0 |

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Question 52➡ | NTA UGC NET August 2016 Paper II The IEEE-754 double-precision format to represent floating point numbers, has a length of _ bits. |

i ➥ 16 |

ii ➥ 32 |

iii ➥ 48 |

iv ➥ 64 |

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Question 53➡ | NTA UGC NET August 2016 Paper II Simplified Boolean equation for the following truth table is: |

i ➥ F = yz’ + y’z |

ii ➥ F = xy’ + x’y |

iii ➥ F = x’z + xz’ |

iv ➥ F = x’z + xz’ + xyz |

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Question 54➡ | NTA UGC NET August 2016 Paper II The simplified form of a Boolean equation (AB’ + AB’C + AC) (A’C’ + B’) is : |

i ➥ AB’ |

ii ➥ AB’C |

iii ➥ A’B |

iv ➥ ABC |

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Question 55➡ | NTA UGC NET August 2016 Paper II In a positive-edge-triggered JK flip-flop, if J and K both are high then the output will be _________ on the rising edge of the clock. |

i ➥ No change |

ii ➥ Set |

iii ➥ Reset |

iv ➥ Toggle |

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Question 56➡ | NTA UGC NET August 2016 Paper III A ripple counter is a : |

i ➥ Synchronous Counter |

ii ➥ Asynchronous counter |

iii ➥ Parallel counter |

iv ➥ None of the above |

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Question 57➡ | NTA UGC NET August 2016 Paper II The output of the following combinational circuit. |

i ➥ X.Y |

ii ➥ X+Y |

iii ➥ X⊕Y |

iv ➥ (X⊕Y)’ |

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Question 58➡ | NTA UGC NET July 2016 Paper II The octal number 326.4 is equivalent to |

i ➥ (214.2)_{10} and (D6.8))_{16} |

ii ➥ (212.5)_{10} and (D6.8))_{16} |

iii ➥ (214.5)_{10} and (D6.8))_{16} |

iv ➥ (214.5)_{10} and (D6.4))_{16} |

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Question 59➡ | NTA UGC NET July 2016 Paper II Which of the following is the most efficient to perform arithmetic operations on the numbers? |

i ➥ Sign-magnitude |

ii ➥ 1’s complement |

iii ➥ 2’s complement |

iv ➥ 9’s complement |

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Question 60➡ | NTA UGC NET July 2016 Paper II The Karnaugh map for a Boolean function is given as The simplified Boolean equation for the above Karnaugh Map is |

i ➥ AB + CD + AB’ + AD |

ii ➥ AB + AC + AD + BCD |

iii ➥ AB + AD + BC + ACD |

iv ➥ AB + AC + BC + BCD |

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Question 61➡ | NTA UGC NET July 2016 Paper II Which of the following logic operations is performed by the following given combinational circuit? |

i ➥ EXCLUSIVE-OR |

ii ➥ EXCLUSIVE-NOR |

iii ➥ NAND |

iv ➥ NOR |

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Question 62➡ | NTA UGC NET July 2016 Paper II Match the following: |

i ➥ a-iii, b-ii, c-iv, d-i |

ii ➥ a-ii, b-iv, c-i, d-iii |

iii ➥ a-ii, b-i, c-iv, d-iii |

iv ➥ a-iii, b-i, c-iv, d-ii |

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Question 63➡ | NTA UGC NET July 2016 Paper III Which of the following is a sequential circuit? |

i ➥ Multiplexer |

ii ➥ Decoder |

iii ➥ Counter |

iv ➥ Full adder |

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Question 64➡ | NTA UGC NET December 2015 Paper IIIThe three outputs X _{1}X_{2}X_{3} from the 8 X 3 priority encoder are used to provide a vector address of the form 101X_{1}X_{2}X_{3}00. What is the second highest priority vector address in hexadecimal if the vector addresses are starting from the one with the highest priority ? |

i ➥ BC |

ii ➥ A4 |

iii ➥ BD |

iv ➥ AC |

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Question 65➡ | NTA UGC NET December 2014 Paper IIThe BCD adder to add two decimal digits needs minimum of |

i ➥ 6 full adders and 2 half adders |

ii ➥ 5 full adders and 3 half adders |

iii ➥ 4 full adders and 3 half adders |

iv ➥ 5 full adders and 2 half adders |

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Question 66➡ | NTA UGC NET December 2014 Paper IIThe Excess-3 decimal code is a self-complementing code because |

i ➥ The binary sum of a code and its 9’s complement is equal to 9. |

ii ➥ It is a weighted code |

iii ➥ Complement can be generated by inverting each bit pattern |

iv ➥ The binary sum of a code and its 10’s complement is equal to 9 |

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Question 67➡ | NTA UGC NET December 2014 Paper IIThe range of representable normalized numbers in the floating point binary fractional representation in a 32-bit word with 1-bit sign, 8-bit excess 128 biased exponent and 23-bit mantissa is |

i ➥ 2^{-128} to (1 – 2^{–23} ) * 2^{127} |

ii ➥ (1 – 2^{–23 }) * 2^{-127} to 2^{128} |

iii ➥ (1 – 2^{–23} ) * 2^{–127} to 2^{23} |

iv ➥ 2^{–129} to (1 – 2^{–23} ) * 2^{127} |

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Question 68➡ | NTA UGC NET June 2014 Paper IIA Boolean function F is called self-dual if and only if F(x1, x2, … xn) = F (͞x1,͞x2, …͞xn) How many Boolean functions of degree n are self-dual ? |

i ➥ 2^{n} |

ii ➥ (2)^{2^n} |

iii ➥ (2)^{n^2} |

iv ➥ (2)^{(2^(n-1))} |

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Question 69➡ | NTA UGC NET June 2014 Paper IIWhich of the following statement(s) is (are) not correct ? i. The 2’s complement of 0 is 0. ii. In 2’s complement, the left most bit cannot be used to express a quantity. iii. For an n-bit word (2’s complement) which includes the sign bit, there are 2 ^{n–1} positive integers, 2^{n+1} negative integers and one 0 for a total of 2^{n} unique states.iv. In 2’s complement the significant information is contained in the 1’s of positive numbers and 0’s of the negative numbers. |

i ➥ i & iv |

ii ➥ i & ii |

iii ➥ iii |

iv ➥ iv |

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Question 70➡ | NTA UGC NET June 2014 Paper IIIThe output of a sequential circuit depends on |

i ➥ Present input only |

ii ➥ Both present and past input |

iii ➥ Past output only |

iv ➥ None of the above |

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Question 71➡ | NTA UGC NET June 2014 Paper IIIWhich of the following flip-flops is free from race condition ? |

i ➥ T flip-flop |

ii ➥ SR flip-flop |

iii ➥ Master-slave JK flip-flop |

iv ➥ None of the above |

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Question 72➡ | NTA UGC NET June 2014 Paper IIIA terminal multiplexer has six 1200 bps terminals and ‘n’ 300 bps terminals connected to it. If the outgoing line is 9600 bps, what is the value of n ? |

i ➥ 4 |

ii ➥ 8 |

iii ➥ 16 |

iv ➥ 28 |

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Question 73➡ | NTA UGC NET December 2013 Paper IIIWhich of the following statements are true ? a. A circuit that adds two bits, producing a sum bit and a carry bit is called half adder. b. A circuit that adds two bits, producing a sum bit and a carry bit is called full adder. c. A circuit that adds two bits and a carry bit producing a sum bit and a carry bit is called full adder. d. A device that accepts the value of a Boolean variable as input and produces its complement is called an inverter. |

i ➥ a and b |

ii ➥ b and c |

iii ➥ a, b and c |

iv ➥ a, c and d |

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Question 74➡ | NTA UGC NET December 2013 Paper IIIWhat will be the output of the following logic diagram? |

i ➥ x OR y |

ii ➥ x AND y |

iii ➥ x XOR y |

iv ➥ x XNOR y |

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Question 75➡ | NTA UGC NET December 2013 Paper IIIWhat are the final values of Q1 and Q0 after 4 clock cycles, if initial values are 00 in the sequential circuit shown below: |

i ➥ 11 |

ii ➥ 10 |

iii ➥ 01 |

iv ➥ 00 |

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Question 76➡ | NTA UGC NET December 2013 Paper IIISynchronization is achieved by a timing device called_________ a which generates a periodic train of ________. |

i ➥ clock generator, clock pulse |

ii ➥ master generator, clock pulse |

iii ➥ generator, clock |

iv ➥ master clock generator, clock pulse |

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